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September 27, 2008

Bibliography

1

R. Beals and E. Kartashova.
Constructively factoring linear partial differential operators in two variables.
TMPh (Journal of Theoretical and Mathematical Physics) , Springer, 145(2):1510-1523, 2005.

2

H. Gu and H. Herrmann.
Close-to-fourier heat conduction equation for solids: Motivation and symbolic-numerical analysis.
ATTI della ACCADEMIA PELORITANA DEI PERICOLANTI, pages 123-147, 2006.
Classe di Scienze Fisiche, Mathematiche e Naturali.

3

R. Hemmecke.
Continuously Parameterized Symmetries and Buchberger's Algorithm.
J. of Symbolic Computation, 33(1):43-55, 2002.

4

E. Hillgarter, R. Hemmecke, G. Landsmann, and F. Winkler.
Symbolic differential elimination theory for symmetry analysis.
Mathematical and Computer Modelling of Dynamical Systems, 10(2):123-147, 2004.

5

E. Kartashova.
Fast Computation Algorithm for Discrete Resonances among Gravity Waves.
JLTP (Journal of Low Temperature Physics), 145(1):287-295, 2006.

6

E. Kartashova.
A hierarchy of generalized invariants for linear partial differential operators.
TMPh (J. Theoretical and Mathematical Physics), Springer, 147(3):839-846, 2006.

7

E. Kartashova.
A model of laminated turbulence.
Letters JETP (Journal of Experimental and Theoretical Physics, Letters; Springer, 83(7):341-345, 2006.

8

E. Kartashova.
Exact and quasi-resonances in discrete water-wave turbulence.
Physical Review Letters, 98(214502):1-4, 2007.

9

E. Kartashova and A. Kartashov.
Laminated wave turbulence: generic algorithms I.
IJMPC (International Journal of Modern Physics C), 17(11):1579-1596, 2006.

10

E. Kartashova and A. Kartashov.
Laminated wave turbulence: generic algorithms II.
CiCP (Communications in Computational Physics), 2(4):783-794, 2007.

11

E. Kartashova and A. Kartashov.
Laminated wave turbulence: generic algorithms III.
Physica A: Statistical Mechanics and Its Applications, 380:66-74, 2007.

12

E. Kartashova and V. L'vov.
A model of intra-seasonal oscillations in the Earth atmosphere.
Physical Review Letters, 98(198501):1-4, May 2007.
This paper has been featured in ``Nature Physics'', Vol. 3 (6), p.368 (Impact Factor: 12.04); http://www.nature.com/nphys/journal/v3/n6/full/nphys643.html.

13

E. Kartashova and G. Mayrhofer.
Cluster formation in mesoscopic systems.
Physica A: Statistical Mechanics and Its Applications, 385:527-542, 2007.

14

G. Landsmann, J. Schicho, and F. Winkler.
The Parametrization of Canal Surfaces and the Decomposition of Polynomials into a Sum of Two Squares.
J. of Symbolic Computation, 32(1-2):119-132, 2001.

15

G. Landsmann, J. Schicho, and F. Winkler.
The parametrization of canal surfaces and the decomposition of polynomials into a sum of two squares.
Symbolic Computation, 32(1 & 2):119-132, 2001.

16

W. Schreiner, C. Mittermaier, and K. Bosa.
Distributed Maple: Parallel computer algebra in networked environments.
Journal of Symbolic Computation, 35(3):305-347, 2002.

17

J. Sendra and F. Winkler.
Tracing Index of Rational Curve Parametrizations.
Computer aided Geometric Design, 18:771-795, 2001.

18

J. R. Sendra and F. Winkler.
Algorithms for Rational Real Algebraic Curves.
Fundamenta Informaticae, 39(1-2):211-228, 1999.

19

J. R. Sendra and F. Winkler.
Tracing index of rational curve parametrizations.
Computer Aideded Geometric Design 18, pages 771-795, 2001.

20

E. Shemyakova.
A full system of invariants for third-order linear partial differential operators.
Lecture Notes in Comput. Sci., 4120:360-369, 2006.

21

E. Shemyakova.
The parametric factorizations of second-, third- and fourth-order linear partial differential operators on the plane.
Mathematics in Computer Science, 1(2), 2007.

22

E. Shemyakova and F. Winkler.
A full system of invariants for third-order linear partial differential operators in general form.
Lecture Notes in Comput. Sci., 4770:360-369, 2007.

23

E. Shemyakova and F. Winkler.
Obstacles to the factorization of linear partial differential operators into several factors.
Programming and Computer Software, 33(2):67-73, 2007.

24

E. Shemyakova and F. Winkler.
On the invariant properties of hyperbolic bivariate third-order linear partial differential operators.
LNAI, 5081, 2008.

25

M. Zhou and F. Winkler.
Computing difference-differential dimension polynomials by relative gröbner bases in difference-differential modules.
J. of Symbolic Computation, 43(10):726-745, 2008.

26

M. Zhou and F. Winkler.
Gröbner bases in difference-differential modules and difference-differential dimension polynomials.
Science in China Series A: Mathematics, 51(9):1731-1752, 2008.

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SpezialForschungsBereich SFB F013 | Special Research Program of the FWF - Austrian Science Fund